Over the past decades, the \(\alpha \)  decay process has attracted much interest toward investigating the decay and fusion mechanisms of heavy and superheavy nuclei [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}. Various approaches have been adopted to investigate the properties of the \(\alpha \)  decay processes [14]}, [15]}, [16]}, [17]}, [18]}, [19]}. These approaches are based on nucleon-nucleon interactions or density functionals of the emitted cluster and daughter nuclei [20]}, [21]}, [22]}.
